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14268 = 2232941
BaseRepresentation
bin11011110111100
3201120110
43132330
5424033
6150020
756412
oct33674
921513
1014268
11a7a1
128310
136657
1452b2
154363
hex37bc

14268 has 24 divisors (see below), whose sum is σ = 35280. Its totient is φ = 4480.

The previous prime is 14251. The next prime is 14281. The reversal of 14268 is 86241.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

14268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328 + ... + 368.

It is an arithmetic number, because the mean of its divisors is an integer number (1470).

214268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640).

14268 is an abundant number, since it is smaller than the sum of its proper divisors (21012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14268 is a wasteful number, since it uses less digits than its factorization.

14268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 75 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 14268 is about 119.4487337731. The cubic root of 14268 is about 24.2542416501.

It can be divided in two parts, 142 and 68, that added together give a triangular number (210 = T20).

The spelling of 14268 in words is "fourteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 246 348 492 1189 2378 3567 4756 7134 14268